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Finding the Fourth Proportional to 197,473.72, 296,228.58 and 64,319.80

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Solution

The fourth proportional to 197,473.72, 296,228.58 and 64,319.80 is: 96,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,473.72 : 296,228.58 = 64,319.80 : x
  2. Step 2: Convert to fraction form
    197,473.72/296,228.58 = 64,319.80/x
  3. Step 3: Cross multiply
    197,473.72x = 296,228.58 × 64,319.80
  4. Step 4: Simplify right side
    197,473.72x = 19,053,363,019.88
  5. Step 5: Solve for x
    x = 19,053,363,019.88/197,473.72
  6. Step 6: Final answer
    x = 96,485.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.